St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 667
... obtain 4q1 ( 72 , 71 ) ≤ 7 ( 1 ) . Hence , 7 ( 7 ) ≥ T ( 71 ) ≥ 6q1 ( 72 , 71 ) , which proves assertion ( i ) of Proposition 2 for = ε . → D , Now we prove assertion ( ii ) . Let y be parametrized by arc length , y : [ 0,1 ] ( 0 ) ...
... obtain 4q1 ( 72 , 71 ) ≤ 7 ( 1 ) . Hence , 7 ( 7 ) ≥ T ( 71 ) ≥ 6q1 ( 72 , 71 ) , which proves assertion ( i ) of Proposition 2 for = ε . → D , Now we prove assertion ( ii ) . Let y be parametrized by arc length , y : [ 0,1 ] ( 0 ) ...
Sayfa 689
... obtain < c 1 | Σ ( Qnƒ ( 21 ) - Qnf ( 23 ) ) | ≤ xpia - o Ω ασ < cz1 N1 N2 N2- N1 1 ασ 1 N2 ( a − 0 ) c21 - 22-0 α- - ( N2- N1 ) α - 0 Finally , we check ( 28 ) for N1 = N2 . In this case , inequality ( 29 ) yields Σ ( Qnf ( 21 ) ...
... obtain < c 1 | Σ ( Qnƒ ( 21 ) - Qnf ( 23 ) ) | ≤ xpia - o Ω ασ < cz1 N1 N2 N2- N1 1 ασ 1 N2 ( a − 0 ) c21 - 22-0 α- - ( N2- N1 ) α - 0 Finally , we check ( 28 ) for N1 = N2 . In this case , inequality ( 29 ) yields Σ ( Qnf ( 21 ) ...
Sayfa 1049
... obtain ( 0.14 ) = ∞ [ ® € ( A ; Ho + V , Ho ) f ( X ) dx ≤ C2 [ ° ( d / 2 ) −1 ƒ ( 1 ) dx · Jv ( x ) V ( x ) dx . Here ƒ ƒ ( ) is any nonnegative monotone decreasing function and C1 , C2 are constants independent of X , V , f . The ...
... obtain ( 0.14 ) = ∞ [ ® € ( A ; Ho + V , Ho ) f ( X ) dx ≤ C2 [ ° ( d / 2 ) −1 ƒ ( 1 ) dx · Jv ( x ) V ( x ) dx . Here ƒ ƒ ( ) is any nonnegative monotone decreasing function and C1 , C2 are constants independent of X , V , f . The ...
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American Mathematical Society analytic assume assumptions B₁ Banach algebra Beurling-Sobolev algebra boundary c₁ compact conformal mapping construct continuous convergence Corollary corresponding defined definition denote domain embedding English transl equation equivalent esk₁ estimate exists finite formula Fourier geodesic Hence Hilbert space homeomorphic homotopy implies inequality integral interpolation interval intrinsic metric inverse IP(Z kernel Lemma linear manifold mapping class groups Math Mathematics Subject Classification metric metric spaces mult N₁ nonselfadjoint norm obtain operator-valued function Petersburg polyhedron polynomial problem Proposition proved pure point r.i. space rank one perturbations relation respect scalar selfadjoint selfadjoint operator sequence singular spectrum solution spectral function spline subgroup Subsection subspace sufficiently symmetric operator theory unitary unitary operator upper bounded curvature vector field whence zero